Least Common Multiple (LCM) of 190 and 186
The least common multiple (LCM) of 190 and 186 is 17670.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 190 and 186?
First, calculate the GCD of 190 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 186 = 1 remainder 4 |
| 2 | 186 ÷ 4 = 46 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 13 | 1963 |
| 33 and 187 | 561 |
| 73 and 105 | 7665 |
| 148 and 109 | 16132 |
| 189 and 21 | 189 |